Introductory Algebra for College Students (7th Edition)

by
Blitzer, Robert F.

Answer

x=7

Work Step by Step

Rewrite the equation in standard form.
x$^2$=14x-49
x$^2$-14x=-49
x$^2$-14x+49=0
Factor the trinomial.
(x-7)(x-7)=0
(x-7)$^2$=0
Set each variable factor as equal to zero and then isolate the variable to find the solutions.
x-7=0
x=7
Enter the original equation into your graphing utility to observe that the graph crosses the x-axis at 7.